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Finding the Third Proportional to 18,300.94 and 38,966.06

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Solution

The third proportional to 18,300.94 and 38,966.06 is: 82,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300.94 : 38,966.06 = 38,966.06 : x
  2. Step 2: Convert to fraction form
    18,300.94/38,966.06 = 38,966.06/x
  3. Step 3: Cross multiply
    18,300.94x = 38,966.06 × 38,966.06
  4. Step 4: Simplify right side
    18,300.94x = 1,518,354,026.75
  5. Step 5: Solve for x
    x = 1,518,354,026.75/18,300.94
  6. Step 6: Final answer
    x = 82,965.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.